Commit 9c8fbb49 authored by Florian Kaltenberger's avatar Florian Kaltenberger

Merge remote-tracking branch 'origin/nr_pucch_format0_receiver' into integration-nr-2019-w21

parents 9574efbf e0c76c5a
......@@ -252,7 +252,7 @@ case $key in
VM_NAME=ci-phy-sim
ARCHIVES_LOC=phy_sim
LOG_PATTERN=.Rel15.txt
NB_PATTERN_FILES=10
NB_PATTERN_FILES=11
BUILD_OPTIONS="--phy_simulators"
VM_MEMORY=8192
RUN_OPTIONS="./run_exec_autotests.bash -g \"01510*\" -q -np -b"
......@@ -331,7 +331,7 @@ case $key in
VM_NAME=ci-phy-sim
ARCHIVES_LOC=phy_sim
LOG_PATTERN=.Rel15.txt
NB_PATTERN_FILES=10
NB_PATTERN_FILES=11
BUILD_OPTIONS="--phy_simulators"
VM_MEMORY=8192
RUN_OPTIONS="./run_exec_autotests.bash -g \"01510*\" -q -np -b"
......
......@@ -1299,6 +1299,7 @@ set(PHY_SRC_UE
${PHY_POLARSRC}
${PHY_SMALLBLOCKSRC}
${PHY_LDPCSRC}
${OPENAIR1_DIR}/PHY/NR_TRANSPORT/pucch_rx.c # added by prasanth
)
set(PHY_NR_UE_SRC
......@@ -2551,6 +2552,14 @@ add_executable(nr_pbchsim
${T_SOURCE})
target_link_libraries(nr_pbchsim -Wl,--start-group UTIL SIMU PHY_COMMON PHY_NR PHY_NR_UE SCHED_NR_LIB CONFIG_LIB -Wl,--end-group m pthread ${ATLAS_LIBRARIES} ${T_LIB} dl)
#PUCCH ---> Prashanth
add_executable(nr_pucchsim
${OPENAIR1_DIR}/SIMULATION/NR_PHY/pucchsim.c
${OPENAIR_DIR}/common/utils/backtrace.c
${T_SOURCE})
target_link_libraries(nr_pucchsim -Wl,--start-group UTIL SIMU PHY_COMMON PHY_NR PHY_NR_UE SCHED_NR_LIB CONFIG_LIB -Wl,--end-group m pthread ${ATLAS_LIBRARIES} ${T_LIB} dl)
#PUCCH ---> Prashanth
add_executable(nr_dlsim
${OPENAIR1_DIR}/SIMULATION/NR_PHY/dlsim.c
${OPENAIR_DIR}/common/utils/backtrace.c
......
......@@ -684,7 +684,7 @@ function main() {
echo_info "Compiling unitary tests simulators"
# TODO: fix: dlsim_tm4 pucchsim prachsim pdcchsim pbchsim mbmssim
#simlist="dlsim_tm4 dlsim ulsim pucchsim prachsim pdcchsim pbchsim mbmssim"
simlist="dlsim ulsim polartest ldpctest smallblocktest nr_pbchsim nr_dlschsim nr_dlsim nr_ulschsim"
simlist="nr_pucchsim dlsim ulsim polartest ldpctest smallblocktest nr_pbchsim nr_dlschsim nr_dlsim nr_ulschsim"
for f in $simlist ; do
compilations \
phy_simulators $f \
......
#include<stdio.h>
#include <string.h>
#include <math.h>
#include <unistd.h>
#include <fcntl.h>
#include <sys/ioctl.h>
#include <sys/mman.h>
#include "PHY/impl_defs_nr.h"
#include "PHY/defs_nr_common.h"
#include "PHY/defs_nr_UE.h"
#include "PHY/NR_UE_TRANSPORT/pucch_nr.h"
#include "PHY/NR_UE_TRANSPORT/nr_transport_proto_ue.h"
#include "common/utils/LOG/log.h"
#include "common/utils/LOG/vcd_signal_dumper.h"
#include "T.h"
void nr_decode_pucch0( int32_t **rxdataF,
pucch_GroupHopping_t pucch_GroupHopping,
uint32_t n_id, // hoppingID higher layer parameter
uint8_t *payload,
NR_DL_FRAME_PARMS *frame_parms,
int16_t amp,
int nr_tti_tx,
uint8_t m0, // should come from resource set
uint8_t nrofSymbols, // should come from resource set
uint8_t startingSymbolIndex, // should come from resource set
uint16_t startingPRB, // should come from resource set
uint8_t nr_bit) { // is number of UCI bits to be decoded
int nr_sequences;
const uint8_t *mcs;
if(nr_bit==1){
mcs=table1_mcs;
nr_sequences=4;
}
else{
mcs=table2_mcs;
nr_sequences=8;
}
/*
* Implement TS 38.211 Subclause 6.3.2.3.1 Sequence generation
*
*/
/*
* Defining cyclic shift hopping TS 38.211 Subclause 6.3.2.2.2
*/
// alpha is cyclic shift
double alpha;
// lnormal is the OFDM symbol number in the PUCCH transmission where l=0 corresponds to the first OFDM symbol of the PUCCH transmission
//uint8_t lnormal;
// lprime is the index of the OFDM symbol in the slot that corresponds to the first OFDM symbol of the PUCCH transmission in the slot given by [5, TS 38.213]
//uint8_t lprime;
// mcs is provided by TC 38.213 subclauses 9.2.3, 9.2.4, 9.2.5 FIXME!
//uint8_t mcs;
/*
* in TS 38.213 Subclause 9.2.1 it is said that:
* for PUCCH format 0 or PUCCH format 1, the index of the cyclic shift
* is indicated by higher layer parameter PUCCH-F0-F1-initial-cyclic-shift
*/
/*
* Implementing TS 38.211 Subclause 6.3.2.3.1, the sequence x(n) shall be generated according to:
* x(l*12+n) = r_u_v_alpha_delta(n)
*/
// the value of u,v (delta always 0 for PUCCH) has to be calculated according to TS 38.211 Subclause 6.3.2.2.1
uint8_t u=0,v=0;//,delta=0;
// if frequency hopping is disabled by the higher-layer parameter PUCCH-frequency-hopping
// n_hop = 0
// if frequency hopping is enabled by the higher-layer parameter PUCCH-frequency-hopping
// n_hop = 0 for first hop
// n_hop = 1 for second hop
uint8_t n_hop = 0;
//uint8_t PUCCH_Frequency_Hopping; // from higher layers FIXME!!
// x_n contains the sequence r_u_v_alpha_delta(n)
int16_t x_n_re[nr_sequences][24],x_n_im[nr_sequences][24];
int n,i,l;
for(i=0;i<nr_sequences;i++){
// we proceed to calculate alpha according to TS 38.211 Subclause 6.3.2.2.2
for (l=0; l<nrofSymbols; l++){
// if frequency hopping is enabled n_hop = 1 for second hop. Not sure frequency hopping concerns format 0. FIXME!!!
// if ((PUCCH_Frequency_Hopping == 1)&&(l == (nrofSymbols-1))) n_hop = 1;
nr_group_sequence_hopping(pucch_GroupHopping,n_id,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(n_id,m0,mcs[i],l,startingSymbolIndex,nr_tti_tx);
#ifdef DEBUG_NR_PUCCH_TX
printf("\t [nr_generate_pucch0] sequence generation \tu=%d \tv=%d \talpha=%lf \t(for symbol l=%d)\n",u,v,alpha,l);
#endif
for (n=0; n<12; n++){
x_n_re[i][(12*l)+n] = (int16_t)((int32_t)(amp)*(int16_t)(((((int32_t)(round(32767*cos(alpha*n))) * table_5_2_2_2_2_Re[u][n])>>15)
- (((int32_t)(round(32767*sin(alpha*n))) * table_5_2_2_2_2_Im[u][n])>>15)))>>15); // Re part of base sequence shifted by alpha
x_n_im[i][(12*l)+n] =(int16_t)((int32_t)(amp)* (int16_t)(((((int32_t)(round(32767*cos(alpha*n))) * table_5_2_2_2_2_Im[u][n])>>15)
+ (((int32_t)(round(32767*sin(alpha*n))) * table_5_2_2_2_2_Re[u][n])>>15)))>>15); // Im part of base sequence shifted by alpha
#ifdef DEBUG_NR_PUCCH_TX
printf("\t [nr_generate_pucch0] sequence generation \tu=%d \tv=%d \talpha=%lf \tx_n(l=%d,n=%d)=(%d,%d)\n",
u,v,alpha,l,n,x_n_re[(12*l)+n],x_n_im[(12*l)+n]);
#endif
}
}
}
int16_t r_re[24],r_im[24];
/*
* Implementing TS 38.211 Subclause 6.3.2.3.2 Mapping to physical resources FIXME!
*/
uint32_t re_offset=0;
for (l=0; l<nrofSymbols; l++) {
if ((startingPRB < (frame_parms->N_RB_DL>>1)) && ((frame_parms->N_RB_DL & 1) == 0)) { // if number RBs in bandwidth is even and current PRB is lower band
re_offset = ((l+startingSymbolIndex)*frame_parms->ofdm_symbol_size) + (12*startingPRB) + frame_parms->first_carrier_offset;
}
if ((startingPRB >= (frame_parms->N_RB_DL>>1)) && ((frame_parms->N_RB_DL & 1) == 0)) { // if number RBs in bandwidth is even and current PRB is upper band
re_offset = ((l+startingSymbolIndex)*frame_parms->ofdm_symbol_size) + (12*(startingPRB-(frame_parms->N_RB_DL>>1)));
}
if ((startingPRB < (frame_parms->N_RB_DL>>1)) && ((frame_parms->N_RB_DL & 1) == 1)) { // if number RBs in bandwidth is odd and current PRB is lower band
re_offset = ((l+startingSymbolIndex)*frame_parms->ofdm_symbol_size) + (12*startingPRB) + frame_parms->first_carrier_offset;
}
if ((startingPRB > (frame_parms->N_RB_DL>>1)) && ((frame_parms->N_RB_DL & 1) == 1)) { // if number RBs in bandwidth is odd and current PRB is upper band
re_offset = ((l+startingSymbolIndex)*frame_parms->ofdm_symbol_size) + (12*(startingPRB-(frame_parms->N_RB_DL>>1))) + 6;
}
if ((startingPRB == (frame_parms->N_RB_DL>>1)) && ((frame_parms->N_RB_DL & 1) == 1)) { // if number RBs in bandwidth is odd and current PRB contains DC
re_offset = ((l+startingSymbolIndex)*frame_parms->ofdm_symbol_size) + (12*startingPRB) + frame_parms->first_carrier_offset;
}
for (n=0; n<12; n++){
if ((n==6) && (startingPRB == (frame_parms->N_RB_DL>>1)) && ((frame_parms->N_RB_DL & 1) == 1)) {
// if number RBs in bandwidth is odd and current PRB contains DC, we need to recalculate the offset when n=6 (for second half PRB)
re_offset = ((l+startingSymbolIndex)*frame_parms->ofdm_symbol_size);
}
r_re[(12*l)+n]=((int16_t *)&rxdataF[0][re_offset])[0];
r_im[(12*l)+n]=((int16_t *)&rxdataF[0][re_offset])[1];
#ifdef DEBUG_NR_PUCCH_TX
printf("\t [nr_generate_pucch0] mapping to RE \t amp=%d \tofdm_symbol_size=%d \tN_RB_DL=%d \tfirst_carrier_offset=%d \ttxptr(%d)=(x_n(l=%d,n=%d)=(%d,%d))\n",
amp,frame_parms->ofdm_symbol_size,frame_parms->N_RB_DL,frame_parms->first_carrier_offset,re_offset,
l,n,((int16_t *)&rxdataF[0][re_offset])[0],((int16_t *)&rxdataF[0][re_offset])[1]);
#endif
re_offset++;
}
}
double corr[nr_sequences],corr_re[nr_sequences],corr_im[nr_sequences];
memset(corr,0,nr_sequences*sizeof(double));
memset(corr_re,0,nr_sequences*sizeof(double));
memset(corr_im,0,nr_sequences*sizeof(double));
for(i=0;i<nr_sequences;i++){
for(l=0;l<nrofSymbols;l++){
for(n=0;n<12;n++){
corr_re[i]+= (double)(r_re[12*l+n])/32767*(double)(x_n_re[i][12*l+n])/32767+(double)(r_im[12*l+n])/32767*(double)(x_n_im[i][12*l+n])/32767;
corr_im[i]+= (double)(r_re[12*l+n])/32767*(double)(x_n_im[i][12*l+n])/32767-(double)(r_im[12*l+n])/32767*(double)(x_n_re[i][12*l+n])/32767;
}
}
corr[i]=corr_re[i]*corr_re[i]+corr_im[i]*corr_im[i];
}
float max_corr=corr[0];
int index=0;
for(i=1;i<nr_sequences;i++){
if(corr[i]>max_corr){
index= i;
max_corr=corr[i];
}
}
*payload=(uint8_t)index; // payload bits 00..b3b2b0, b0 is the SR bit and b3b2 are HARQ bits
}
......@@ -48,14 +48,12 @@
#endif
//#define ONE_OVER_SQRT2 23170 // 32767/sqrt(2) = 23170 (ONE_OVER_SQRT2)
void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_nr.puch_GroupHopping,
//uint8_t PUCCH_GroupHopping,
PHY_VARS_NR_UE *ue,
//uint32_t n_id,
uint8_t n_hop,
int nr_tti_tx,
uint8_t *u,
uint8_t *v) {
void nr_group_sequence_hopping (pucch_GroupHopping_t PUCCH_GroupHopping,
uint32_t n_id,
uint8_t n_hop,
int nr_tti_tx,
uint8_t *u,
uint8_t *v) {
/*
* Implements TS 38.211 subclause 6.3.2.2.1 Group and sequence hopping
* The following variables are set by higher layers:
......@@ -69,12 +67,12 @@ void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_n
* n_hop=1 for the second hop
*/
// depending on the value of the PUCCH_GroupHopping, we will obtain different values for u,v
pucch_GroupHopping_t PUCCH_GroupHopping = ue->pucch_config_common_nr->pucch_GroupHopping; // from higher layers FIXME!!!
//pucch_GroupHopping_t PUCCH_GroupHopping = ue->pucch_config_common_nr->pucch_GroupHopping; // from higher layers FIXME!!!
// n_id defined as per TS 38.211 subclause 6.3.2.2.1 (is given by the higher-layer parameter hoppingId)
// it is hoppingId from PUCCH-ConfigCommon:
// Cell-Specific scrambling ID for group hoppping and sequence hopping if enabled
// Corresponds to L1 parameter 'HoppingID' (see 38.211, section 6.3.2.2) BIT STRING (SIZE (10))
uint16_t n_id = ue->pucch_config_common_nr->hoppingId; // from higher layers FIXME!!!
//uint16_t n_id = ue->pucch_config_common_nr->hoppingId; // from higher layers FIXME!!!
#ifdef DEBUG_NR_PUCCH_TX
// initialization to be removed
PUCCH_GroupHopping=neither;
......@@ -84,8 +82,8 @@ void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_n
uint8_t f_ss=0,f_gh=0;
*u=0;
*v=0;
uint32_t c_init = (1<<5)*floor(n_id/30)+(n_id%30); // we initialize c_init to calculate u,v
uint32_t x1,s = lte_gold_generic(&x1, &c_init, 1); // TS 38.211 Subclause 5.2.1
uint32_t c_init = 0;
uint32_t x1,s; // TS 38.211 Subclause 5.2.1
int l = 32, minShift = ((2*nr_tti_tx+n_hop)<<3);
int tmpShift =0;
#ifdef DEBUG_NR_PUCCH_TX
......@@ -97,6 +95,8 @@ void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_n
}
if (PUCCH_GroupHopping == enable) { // PUCCH_GroupHopping 'enabled'
c_init = floor(n_id/30); // we initialize c_init to calculate u,v according to 6.3.2.2.1 of 38.211
s = lte_gold_generic(&x1, &c_init, 1); // TS 38.211 Subclause 5.2.1
for (int m=0; m<8; m++) {
while(minShift >= l) {
s = lte_gold_generic(&x1, &c_init, 0);
......@@ -118,6 +118,8 @@ void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_n
}
if (PUCCH_GroupHopping == disable) { // PUCCH_GroupHopping 'disabled'
c_init = (1<<5)*floor(n_id/30)+(n_id%30); // we initialize c_init to calculate u,v
s = lte_gold_generic(&x1, &c_init, 1); // TS 38.211 Subclause 5.2.1
f_ss = n_id%30;
l = 32, minShift = (2*nr_tti_tx+n_hop);
......@@ -137,7 +139,7 @@ void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_n
#endif
}
double nr_cyclic_shift_hopping(PHY_VARS_NR_UE *ue,
double nr_cyclic_shift_hopping(uint32_t n_id,
uint8_t m0,
uint8_t mcs,
uint8_t lnormal,
......@@ -153,7 +155,7 @@ double nr_cyclic_shift_hopping(PHY_VARS_NR_UE *ue,
*/
// alpha_init initialized to 2*PI/12=0.5235987756
double alpha = 0.5235987756;
uint32_t c_init = ue->pucch_config_common_nr->hoppingId; // we initialize c_init again to calculate n_cs
uint32_t c_init = n_id; // we initialize c_init again to calculate n_cs
#ifdef DEBUG_NR_PUCCH_TX
// initialization to be remo.ved
c_init=10;
......@@ -246,8 +248,8 @@ void nr_generate_pucch0(PHY_VARS_NR_UE *ue,
for (int l=0; l<nrofSymbols; l++) {
// if frequency hopping is enabled n_hop = 1 for second hop. Not sure frequency hopping concerns format 0. FIXME!!!
// if ((PUCCH_Frequency_Hopping == 1)&&(l == (nrofSymbols-1))) n_hop = 1;
nr_group_sequence_hopping(ue,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(ue,m0,mcs,l,startingSymbolIndex,nr_tti_tx);
nr_group_sequence_hopping(ue->pucch_config_common_nr->pucch_GroupHopping,ue->pucch_config_common_nr->hoppingId,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(ue->pucch_config_common_nr->hoppingId,m0,mcs,l,startingSymbolIndex,nr_tti_tx);
#ifdef DEBUG_NR_PUCCH_TX
printf("\t [nr_generate_pucch0] sequence generation \tu=%d \tv=%d \talpha=%lf \t(for symbol l=%d)\n",u,v,alpha,l);
#endif
......@@ -435,8 +437,8 @@ void nr_generate_pucch1(PHY_VARS_NR_UE *ue,
printf("\t [nr_generate_pucch1] entering function nr_group_sequence_hopping with n_hop=%d, nr_tti_tx=%d\n",
n_hop,nr_tti_tx);
#endif
nr_group_sequence_hopping(ue,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(ue,m0,mcs,l,lprime,nr_tti_tx);
nr_group_sequence_hopping(ue->pucch_config_common_nr->pucch_GroupHopping,ue->pucch_config_common_nr->hoppingId,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(ue->pucch_config_common_nr->hoppingId,m0,mcs,l,lprime,nr_tti_tx);
for (int n=0; n<12; n++) {
r_u_v_alpha_delta_re[n] = (int16_t)(((((int32_t)(round(32767*cos(alpha*n))) * table_5_2_2_2_2_Re[u][n])>>15)
......@@ -753,8 +755,8 @@ void nr_generate_pucch1_old(PHY_VARS_NR_UE *ue,
printf("\t [nr_generate_pucch1] entering function nr_group_sequence_hopping with n_hop=%d, nr_tti_tx=%d\n",
n_hop,nr_tti_tx);
#endif
nr_group_sequence_hopping(ue,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(ue,m0,mcs,lnormal,lprime,nr_tti_tx);
nr_group_sequence_hopping(ue->pucch_config_common_nr->pucch_GroupHopping,ue->pucch_config_common_nr->hoppingId,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
alpha = nr_cyclic_shift_hopping(ue->pucch_config_common_nr->hoppingId,m0,mcs,lnormal,lprime,nr_tti_tx);
for (int n=0; n<12; n++) {
r_u_v_alpha_delta_re[n] = (int16_t)(((((int32_t)(round(32767*cos(alpha*n))) * table_5_2_2_2_2_Re[u][n])>>15)
......@@ -1571,7 +1573,7 @@ void nr_generate_pucch3_4(PHY_VARS_NR_UE *ue,
for (int l=0; l<nrofSymbols; l++) {
if ((intraSlotFrequencyHopping == 1) && (l >= (int)floor(nrofSymbols/2))) n_hop = 1; // n_hop = 1 for second hop
nr_group_sequence_hopping(ue,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
nr_group_sequence_hopping(ue->pucch_config_common_nr->pucch_GroupHopping,ue->pucch_config_common_nr->hoppingId,n_hop,nr_tti_tx,&u,&v); // calculating u and v value
// Next we proceed to calculate base sequence for DM-RS signal, according to TS 38.211 subclause 6.4.1.33
if (nrofPRB >= 3) { // TS 38.211 subclause 5.2.2.1 (Base sequences of length 36 or larger) applies
......@@ -1617,7 +1619,7 @@ void nr_generate_pucch3_4(PHY_VARS_NR_UE *ue,
}
uint16_t j=0;
alpha = nr_cyclic_shift_hopping(ue,m0,mcs,l,startingSymbolIndex,nr_tti_tx);
alpha = nr_cyclic_shift_hopping(ue->pucch_config_common_nr->hoppingId,m0,mcs,l,startingSymbolIndex,nr_tti_tx);
for (int rb=0; rb<nrofPRB; rb++) {
if ((intraSlotFrequencyHopping == 1) && (l<floor(nrofSymbols/2))) { // intra-slot hopping enabled, we need to calculate new offset PRB
......
......@@ -42,15 +42,26 @@
#include "T.h"
#define ONE_OVER_SQRT2 23170 // 32767/sqrt(2) = 23170 (ONE_OVER_SQRT2)
void nr_group_sequence_hopping (//pucch_GroupHopping_t ue->pucch_config_common_nr.puch_GroupHopping,
//uint8_t PUCCH_GroupHopping,
PHY_VARS_NR_UE *ue,
//uint32_t n_id,
void nr_decode_pucch0( int32_t **rxdataF,
pucch_GroupHopping_t PUCCH_GroupHopping,
uint32_t n_id, //PHY_VARS_gNB *gNB, generally rxdataf is in gNB->common_vars
uint8_t *payload,
NR_DL_FRAME_PARMS *frame_parms,
int16_t amp,
int nr_tti_tx,
uint8_t m0, // should come from resource set
uint8_t nrofSymbols, // should come from resource set
uint8_t startingSymbolIndex, // should come from resource set
uint16_t startingPRB, // should come from resource set
uint8_t nr_bit);
void nr_group_sequence_hopping (pucch_GroupHopping_t PUCCH_GroupHopping,
uint32_t n_id,
uint8_t n_hop,
int nr_tti_tx,
uint8_t *u,
uint8_t *v);
double nr_cyclic_shift_hopping(PHY_VARS_NR_UE *ue,
double nr_cyclic_shift_hopping(uint32_t n_id,
uint8_t m0,
uint8_t mcs,
uint8_t lnormal,
......@@ -111,6 +122,11 @@ void nr_generate_pucch3_4(PHY_VARS_NR_UE *ue,
uint8_t nr_bit,
uint8_t occ_length_format4,
uint8_t occ_index_format4);
// tables for mcs values for different payloads
static const uint8_t table1_mcs[]={0,3,6,9};
static const uint8_t table2_mcs[]={0,1,3,4,6,7,9,10};
/*
* The following tables implement TS 38.211 Subclause 5.2.2.2 Base sequences of length less than 36 (rows->u {0,1,..,29} / columns->n {0,1,...,M_ZC-1)
* Where base sequence r_u_v(n)=exp[j*phi(n)*pi/4] 0<=n<=M_ZC-1 and M_ZC={6,12,18,24}
......
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