On the effects of quantization on mismatched pulse compression filters designed using L-p norm minimization techniques

Abstract

In [1] the authors introduced a technique for generating mismatched pulse compression filters for linear frequency chirp signals. The technique minimizes the sum of the pulse compression sidelobes in an p L -norm sense. It was shown that extremely constant sidelobe levels (better than 60 dB) can be achieved for minimal mismatch loss and broadening of the compression peak. This paper reports on an investigation into the effect of quantization on pulse compression filters designed using the abovementioned technique. Simulation results for 8-bit and 16-bit implementations of a pulse compressor system are presented.

Impact of ADC Sampling Rate and Number of Bits on the Matched Filter Efficiency in Intrapulse LFM Radar

“…It can be seen that the increase in the number of bits has a direct effect on the behavior of the sidelobes. This result agrees with the results obtained by [3], [4] e [6].…”

“…Both obtained a reduction of the average sidelobe power up to a certain number of bits. Although the focus in [6] is on mismatched pulse compression filters, the results of the sidelobe were similar to those obtained by other authors. Finally, regarding the sampling rate, according to the analysis presented in [7], it was found that the signal energy does not change with the modification of that parameter.…”

“…After passing through the ADC, the signal 𝑥′ 6 [𝑡] arrives at the matched filter. The impulse response ℎ[𝑡] of the filter in question was designed according to the waveform 𝑥[𝑡], as defined in (6). It is emphasized that once the sampling rate of the signal is chosen, it is the same as ℎ[𝑡] and remains constant at all stages of the radar processing.…”

“…An analysis of the effects of the number of bits in an LFM signal after the matched filter has been done by [3]- [6]. Specifically, in [3], such an analysis was conducted on a signal generated by a digital radio frequency memory (DRFM) and found an increase in the level of the sidelobes when reducing the number of bits.…”