Method and apparatus for compressive parameter estimation and tracking
First Claim
1. A method for estimating and tracking locally oscillating signals, the method comprising the steps of:
- acquiring compressive samples of a locally oscillating analog or digital input signal with a first compressive sampler;
computing an estimate of parameters of the input signal from inner products of said acquired compressive samples with compressive samples of an estimated output;
generating said estimated output with an oscillator, where said estimated output comprises samples of said estimated parameters; and
converting with a second compressive sampler said samples of said estimated parameters into said compressive samples of said estimated output.
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Abstract
A method for estimating and tracking locally oscillating signals. The method comprises the steps of taking measurements of an input signal that approximately preserve the inner products among signals in a class of signals of interest and computing an estimate of parameters of the input signal from its inner products with other signals. The step of taking measurements may be linear and approximately preserve inner products, or may be non-linear and approximately preserves inner products. Further, the step of taking measurements is nonadaptive and may comprise compressive sensing. In turn, the compressive sensing may comprise projection using one of a random matrix, a pseudorandom matrix, a sparse matrix and a code matrix. The step of tracking said signal of interest with a phase-locked loop may comprise, for example, operating on compressively sampled data or by operating on compressively sampled frequency modulated data, tracking phase and frequency.
22 Citations
18 Claims
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1. A method for estimating and tracking locally oscillating signals, the method comprising the steps of:
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acquiring compressive samples of a locally oscillating analog or digital input signal with a first compressive sampler; computing an estimate of parameters of the input signal from inner products of said acquired compressive samples with compressive samples of an estimated output; generating said estimated output with an oscillator, where said estimated output comprises samples of said estimated parameters; and converting with a second compressive sampler said samples of said estimated parameters into said compressive samples of said estimated output. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15)
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16. A system for estimating and tracking locally oscillating signals, the system comprising:
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a first compressive sampler for acquiring samples of a locally oscillating analog or digital input signal; means for computing an estimate of a parameters of the input signal, said means for computing having an input connected to out output of said first compressive sampler; an oscillator connected to an output of said means for computing; and a second compressive sampler having an input connected to an output of said oscillator and an output connected to an input of said means for computing;
wherein,said oscillator generates an estimated output of said means for computing, said estimated output comprising samples of said estimated parameters; said second compressive sampler converts said samples of said estimated parameters into compressive samples of said estimated output; and said means for computing computes an estimate of parameters of the input signal from inner products of said acquired compressive samples with compressive samples of an estimated output. - View Dependent Claims (17, 18)
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Specification