Answer the following questions True (T) or False (F): ___  I…

Answer the following questions True (T) or False (F): ___  If a sequence is separable, each row is a multiple of every other row, and each column is a multiple of every other column. ___  A necessary condition for linearity is that the output doubles when the input doubles. ___  Linearity of a system implies that its response to an arbitrary input can be computed using the convolution sum.   ___  The Fourier transform of any rotated version of the original function is just the rotated Fourier transform. ___  If a signal is not band limited, then a lowpass filter can be employed prior to sampling to eliminate aliasing. ___  Hexagonal sampling always results in 13.4% fewer samples than rectangular sampling. ___  The difference equation specifying an IIR filter gives all the necessary information required to implement the filter. ___  To compute the inverse Z-transform, a 2-D polynomial is usually factored as a product of lower-order polynomials. ___  For Z-transforms, a system is stable if and only if the ROC includes . ___  The DFT coefficients are samples of the DSFT at hexagonally sampled points.