1.In the literature of DSP, some authors state that the combined frequency magnitude response of two cascaded systems is the product of their individual frequency magnitude responses. That is, | H...

1.In the literature of DSP, some authors state that the combined frequency magnitude response of two cascaded systems is the product of their individual frequency magnitude responses. That is, | H combined(?)|=| H 1(?)| · | H 2(?)|. Another author might say the combined frequency magnitude response of two cascaded systems is equal to the magnitude of the product of their individual frequency responses. That is, | H combined(?)|=| H 1(?) H 2(?)|. Can both statements be correct? We simplify, and restate, this problem as follows: Given two complex numbers, C 1 and C 2, prove that the product of their magnitudes is equal to the magnitude of their product, i.e.,