A method for implementing multi-channel Synthetic Aperture Radar imaging in a multi-channel SAR system having a singular point, the method comprising: performing azimuth phase modulation on an emission signal in an azimuth Doppler domain to obtain a modulated emission signal (S100a), and transmitting the modulated emission signal (S100b); receiving an echo signal (S100c), and performing azimuth phase demodulation on the received echo signal in the azimuth Doppler domain to obtain the demodulated echo signal (S100d); filtering the demodulated echo signal to obtain a filtered echo signal; and performing imaging processing on the filtered echo signal to obtain an imaging result, characterized in that the filtering the demodulated echo signal to obtain a filtered echo signal comprises: constructing a filter using channel data discarded in a singular point solving method (S101a); and filtering, by the constructed filter, the demodulated echo signal to obtain the filtered echo signal (S101b), wherein the system response matrix H(f) of the multi-channel SAR system is represented by: H f = H 1 f... H n f H 1 f + PRF... H n f + PRF......... H 1 f + N − 1 PRF... H n f + N − 1 PRF, wherein H i ( f) is represented by: H i f = exp − jπ i − 1 2 Δ x i 2 2 λR 0 + i − 1 Δ x i v f i = 1, 2, ⋯, N, where λ is the wavelength of a carrier, R 0 is a minimum slant distance from a target to a radar, Δ x i is an azimuth position of each channel center, v is a flying speed of the radar, and Δ x is an interval between two adjacent channels, wherein PRF values corresponding to the last k rows in H(f) are referred to as singular points. performing azimuth phase modulation on an emission signal in an azimuth Doppler domain to obtain a modulated emission signal (S100a), and transmitting the modulated emission signal (S100b); receiving an echo signal (S100c), and performing azimuth phase demodulation on the received echo signal in the azimuth Doppler domain to obtain the demodulated echo signal (S100d); filtering the demodulated echo signal to obtain a filtered echo signal; and performing imaging processing on the filtered echo signal to obtain an imaging result, characterized in that the filtering the demodulated echo signal to obtain a filtered echo signal comprises: constructing a filter using channel data discarded in a singular point solving method (S101a); and filtering, by the constructed filter, the demodulated echo signal to obtain the filtered echo signal (S101b), wherein the system response matrix H(f) of the multi-channel SAR system is represented by: H f = H 1 f... H n f H 1 f + PRF... H n f + PRF......... H 1 f + N − 1 PRF... H n f + N − 1 PRF, wherein H i ( f) is represented by: H i f = exp − jπ i − 1 2 Δ x i 2 2 λR 0 + i − 1 Δ x i v f i = 1, 2, ⋯, N, where λ is the wavelength of a carrier, R 0 is a minimum slant distance from a target to a radar, Δ x i is an azimuth position of each channel center, v is a flying speed of the radar, and Δ x is an interval between two adjacent channels, wherein PRF values corresponding to the last k rows in H(f) are referred to as singular points. constructing a filter using channel data discarded in a singular point solving method (S101a); and filtering, by the constructed filter, the demodulated echo signal to obtain the filtered echo signal (S101b), wherein the system response matrix H(f) of the multi-channel SAR system is represented by: H f = H 1 f... H n f H 1 f + PRF... H n f + PRF......... H 1 f + N − 1 PRF... H n f + N − 1 PRF, wherein H i ( f) is represented by: H i f = exp − jπ i − 1 2 Δ x i 2 2 λR 0 + i − 1 Δ x i v f i = 1, 2, ⋯, N, where λ is the wavelength of a carrier, R 0 is a minimum slant distance from a target to a radar, Δ x i is an azimuth position of each channel center, v is a flying speed of the radar, and Δ x is an interval between two adjacent channels, wherein PRF values corresponding to the last k rows in H(f) are referred to as singular points.