Systems and methods for fast acquisition of a primary synchronization signal for 5G new radio network

A system for acquiring a primary synchronization signal with user equipment, the system comprising:

• a radio frequency (RF) transceiver of the user equipment configured to receive an RF broadcast signal;
• and
• a programmable processor of the user equipment configured to receive the RF broadcast signal from the RF transceiver, and wherein the programmable processor is configured to:
• execute a time direction differential correlation between a first section of the RF broadcast signal and a second section of the RF broadcast signal;
• sum together sections of an output of the time direction differential correlation that are separated by a preconfigured distance;
• identify a preconfigured number of peak values in results of the summation;
• convert the first section and the second section of the RF broadcast signal into frequency domain versions of the first section and the second section that are localized to locations of the preconfigured number of peak values;
• execute frequency direction differential correlations between the frequency domain versions of the first section and the second section;
• identify maximum values of a ratio between outputs of the frequency direction differential correlations;
• identify ones of the maximum values of the ratio that are greater than or equal to a preconfigured threshold value;
• and
• search for a primary synchronization signal (PSS) in localized regions of the RF broadcast signal, wherein the localized regions are defined in the time domain by the preconfigured number of peak values in the results of the summing and in the frequency domain by the ones of the maximum values of the ratio that are greater than or equal to a preconfigured threshold value.