You are given an input signal with a maximum input frequency of 1 kHz. Also, given that the Nyquist criteria of a minimum sampling frequency is two times the highest input frequency, are there any potential problems of sampling the input signal at a sampling rate of exactly 2 kHz? What if there is no antialiasing input filter and the input signal exceeds the Nyquist sampling frequency criteria to a value of 0.6 times fs ? What affect would this have on the output?