1. A method for wireless communications, comprising: receiving a signal transmitted over a wireless channel, wherein the received signal comprises a corrupted impulse signal; quantizing the received signal using a defined threshold value to obtain a quantized signal with multiple different values, wherein the quantized signal comprises the corrupted impulse signal; equalizing the quantized signal using a non-corrupted version of the impulse signal and a reference signal to generate an equalized signal, wherein the equalized signal is based on the reference signal; and denoising the equalized signal according to a fast version of the Cadzow algorithm.