Determine the transfer function for a first order low pass filter with a cutoff frequency of 1000 radians/sec (note radians and not Hertz) and a pass band gain of 1 using the following types.
(a) Butterworth type
(b) Chebyschev type
with 1 db ripple in the pass band In both cases list the TF of the filter below. Then use MATLAB to verify their frequency response (FR) , i.e. to check that they do indeed give the FR you wanted. Attach MATLAB printout at the end. Put your name on the printout.