Compressive Sensing Radar Imaging for Resolution and Complexity

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Solution Overview

Problem

Current radar systems face limitations in resolution due to the need for high sampling rates and large dynamic range A/D converters to handle wideband signals, which restricts the implementation of short duration pulses and increases costs.

Innovation Solution

The implementation of Compressive Sensing techniques allows for the recovery of radar reflectivity profiles from below Nyquist-rate sampled wave sequences, eliminating the need for matched filtering and reducing the required A/D converter bandwidth by utilizing a compressible representation of the radar scene and additional acquisition parameters.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If high sampling rate A/D converters are used to handle wideband signals, then measurement precision is improved, but device complexity and cost increase

Engineering Contradiction:
Improveradar resolutionVSAvoidA/D converter requirements
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent changes the sampling rate parameter from Nyquist rate to below-Nyquist rate, enabling the use of lower-rate A/D converters. Compressive sensing algorithms then reconstruct the high-resolution radar profile from these undersampled measurements, resolving the contradiction between measurement precision and device complexity

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent replaces the traditional matched filtering mechanism with compressive sensing-based signal processing. Instead of using high-rate sampling followed by pulse compression, the system uses low-rate sampling followed by iterative reconstruction algorithms, substituting the mechanical sampling approach with a computational one

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Measurement precision

If short duration pulses are transmitted to achieve high resolution, then measurement precision is improved, but power requirements increase making implementation difficult

Engineering Contradiction:
Improverange resolutionVSAvoidtransmit pulse power
Core Design Contradiction:
Measurement precisionVSPower

Solution Approach 1:

The patent applies preliminary modulation to the transmitted pulse (such as chirp or phase coding) before transmission. This allows the use of longer duration pulses with lower peak power while maintaining resolution through the compressive sensing reconstruction process, which exploits the structured nature of the modulated signal

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent changes the pulse duration parameter from short to long duration, compensated by using modulated waveforms and compressive sensing reconstruction. This resolves the contradiction by allowing longer pulses (lower power) while maintaining resolution through signal processing

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If pulse compression (matched filtering) is used to achieve high resolution, then measurement precision is improved, but the sampling rate requirements increase

Engineering Contradiction:
Improverange resolutionVSAvoidsampling rate
Core Design Contradiction:
Measurement precisionVSSpeed

Solution Approach 1:

The patent inverts the traditional processing order: instead of sampling at high rate then applying pulse compression, it samples at low rate then applies compressive sensing reconstruction. This inversion eliminates the need for high-rate sampling while achieving the same resolution through computational methods

Inventive Principle:
Principle #13The other way round (Inversion)

Solution Approach 2:

The patent substitutes the matched filtering operation with iterative compressive sensing reconstruction algorithms. The computational reconstruction process replaces the traditional pulse compression mechanism, enabling resolution achievement without high-rate sampling

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Data Source

PatentUS7928893B2Apparatus and method for compressive sensing radar imaging
Publication Date: 2011.04.19 WILLIAM MARCH RICE UNIVERSITY
  • US7928893B2 patent drawing
  • US7928893B2 patent drawing
  • US7928893B2 patent drawing

AI summary

Method and apparatus for developing radar scene and target profiles based on Compressive Sensing concept. An outgoing radar waveform is transmitted in the direction of a radar target and the radar reflectivity profile is recovered from the received radar wave sequence using a compressible or sparse representation of the radar reflectivity profile in combination with knowledge of the outgoing wave form. In an exemplary embodiment the outgoing waveform is a pseudo noise sequence or a linear FM waveform.