Signal carrier frequency and two-dimensional doa parameter estimation method based on undersampling
A parameter estimation and undersampling technology, which is applied in the field of signal processing, can solve the problems of broadband sparse signal carrier frequency and high sampling rate of two-dimensional DOA parameter estimation, and achieve the effect of reducing algorithm complexity and sampling rate
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specific Embodiment approach 1
[0033] Specific implementation mode one: as figure 1 shown. The under-sampling-based signal carrier frequency and two-dimensional DOA parameter estimation method described in this embodiment includes the following steps:
[0034] Step 1. Establish an L-shaped array composed of sensors uniformly distributed in the positive direction of the x-axis and the positive direction of the y-axis of the three-dimensional space Cartesian coordinate system, such as figure 2 As shown, two MWC (modulation bandwidth converter) channels are connected behind each sensor in the positive direction of the x-axis, and a delay module is added before the mixing module of one of the MWC channels, and the channel to which the delay module is added is defined as the x-axis Delay channel, the channel without delay module is the x-axis non-delay channel; there is only one MWC channel connected to each sensor in the positive direction of the y-axis, which is defined as the y-axis non-delay channel;
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specific Embodiment approach 2
[0047] Specific implementation mode two: the difference between this implementation mode and specific implementation mode one is: the specific process of the step one is:
[0048]
[0049] Among them: x[k], y[k] and z[k] are the sampling values of x-axis non-delay channel, y-axis non-delay channel and x-axis delay channel respectively, A x 、A y and A z They are the array flow pattern matrix of the x-axis non-delay channel, y-axis non-delay channel and x-axis delay channel respectively, and the elements in the array flow pattern matrix are only related to the unknown carrier frequency, azimuth angle and elevation angle; w[k] is the narrowband target The signal after the signal is moved to the baseband, w[k]={w 1 [k],w 2 [k],...,w M [k]}, w 1 [k],w 2 [k],...,w M [k] respectively represent the narrowband target signal s 1 (t),s 2 (t),...,s M (t) The form after moving to the baseband.
specific Embodiment approach 3
[0050] Specific implementation mode three: the difference between this implementation mode and specific implementation mode two is: the specific process of said step two is:
[0051]
[0052] where: x 1 [k] represents the sampling value of the first sub-array of the x-axis non-delay channel, x 2 [k] represents the sampling value of the second sub-array of the x-axis non-delay channel, and Respectively represent the array flow matrix of the first sub-array and the second sub-array of the x-axis non-delay channel;
[0053] the y 1 [k] represents the sampling value of the first sub-array of the y-axis non-delay channel, y 2 [k] represents the sampling value of the second sub-array of the y-axis non-delayed channel, and Respectively represent the array flow matrix of the first sub-array and the second sub-array of the y-axis non-delay channel;
[0054] z 1 [k] represents the sampling value of the first sub-array of the x-axis delay channel, z 2 [k] represents the s...
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