Pulsed radar system using optimized transmit and filter waveforms

A radar system comprising:

• a transmitter device configured to transmit a transmit signal encoding a transmit waveform having a plurality of pulses, and
• a receiver device configured to receive a received signal,
• the transmitter device and the receiver device further configured to access a storage device configured to store a first sequence of values and a second sequence of values such that a measured range response to the transmit signal transmitted by the transmitter device based on the first sequence of values is computed by the receiver device as a cross-correlation between (i) a sequence of values representing the received signal, and (ii) the second sequence of values,
• the first sequence of values and the second sequence of values generated by a computing device configured to execute instructions to perform operations comprising:
• receiving one or more input parameters that include
• a first parameter indicative of a number of code samples of a first waveform,
• a second parameter indicative of a number of code samples of a second waveform, wherein the number of code samples of the second waveform is greater than the number of code samples of the first waveform, and
• a third parameter indicative of an oversampling factor;
• and
• generating, by one or more processing devices executing a joint optimization process,
• (i) the first sequence of values representing phase values for the first waveform, and
• (ii) the second sequence of values representing a set of complex amplitude values for the second waveform,
• the first and second sequences of values being generated such that an objective function of the first sequence and the second sequence satisfies a set of one or more conditions, subject to one or more constraints,
• the objective function comprising a weighted sum of
• a Doppler tolerant first metric indicative of a sidelobe level of a simulated range response,
• a second metric indicative of a frequency suppression of the first waveform outside of a target bandwidth, and
• a third metric indicative of a frequency suppression of the second waveform outside of the target bandwidth.

One or more computer readable media storing instructions that are executable by a processing device, and upon such execution cause the processing device to perform operations comprising:

• receiving one or more input parameters that include
• a first parameter indicative of a number of code samples of a first waveform,
• a second parameter indicative of a number of code samples of a second waveform, wherein the number of code samples of the second waveform is greater than the number of code samples of the first waveform, and
• a third parameter indicative of an oversampling factor;
• generating, by one or more processing devices executing a joint optimization process,
• (i) a first sequence of values representing phase values for the first waveform, and
• (ii) a second sequence of values representing a set of complex amplitude values for the second waveform,
• the first and second sequences of values being generated such that an objective function of the first sequence and the second sequence satisfies a set of one or more conditions, subject to one or more constraints,
• the objective function comprising a weighted sum of
• a Doppler tolerant first metric indicative of a sidelobe level of a simulated range response,
• a second metric indicative of a frequency suppression of the first waveform outside of a target bandwidth, and
• a third metric indicative of a frequency suppression of the second waveform outside of the target bandwidth;
• and
• storing the first sequence of values and the second sequence of values in a storage device accessible to a transmitter device and a receiver device such that a measured range response to a transmit waveform transmitted by the transmitter device based on the first sequence of values is computed by the receiver device as a cross-correlation between (i) a sequence of values representing a received signal, and (ii) the second sequence of values.