Compressed sampling method for multiband signal
A signal compression, multi-band technology, applied in electrical components, code conversion and other directions, can solve the problems of limited signal frequency range applicable to multi-coset compression sampling system, low full power bandwidth of analog front end, etc., to avoid low full power bandwidth Effect
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specific Embodiment approach 1
[0013] Specific implementation mode 1. Combination figure 1 and figure 2 Describe this embodiment mode, a kind of multi-band signal compression sampling method described in this embodiment mode, the specific steps of this method are: adopt p sampling channels to sample multi-band signal x(t), p is a positive integer; The specific sampling method for each channel 1≤i≤p:
[0014] Step 1. Multi-band signal x(t) and signal M i (t) Perform frequency mixing to obtain the mixed signal
[0015] Step 2. Use the cutoff frequency as f 0 The ideal low-pass filter h(t) of / 2 on the signal filtering; and using an analog-to-digital converter at frequency f s = f 0 Sampling to obtain the sampling sequence y i [n];
[0016] Using the reconstruction algorithm to use the sampling sequence y[n]=(y 1 [n],...,y i [n],...,y p [n]) T Refactor to get the sequence d [ n ] = ( d ...
specific Embodiment approach 2
[0018] Specific embodiment 2. This embodiment is a further description of a multi-band signal compression sampling method described in specific embodiment 1. In this embodiment, the mixing function M of the ith sampling channel i (t)=M(t-c i T nyq ),in, from 0≤c i A set of randomly selected p different integers in ≤m-1; the period of the function M(t) is T 0 =1 / f 0 , whose Fourier series coefficients are and satisfies b l ≠0,l=-L 0 ,...,L 0 .
specific Embodiment approach 3
[0019] Specific Embodiment 3. This embodiment is a further description of a multi-band signal compression sampling method described in Specific Embodiment 1. In this embodiment, y[n]=(y 1 [n],...,y i [n],...,y p [n]) T and d [ n ] = ( d - L 0 [ n ] , · · · , d L 0 [ n ] ) T satisfy the relationship:
[0020] y[n]=Ad[n]
[0021] Among them, A=A 0 D,A 0 In line i, line l+L 0 The elements of the +1 column are The diagonal elements of the diagonal matrix D sati...
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