An  m-sequence is generated by a continuously running feedback shift-resister with a clock rate of 10 kHz. Assume that the shift register has six stages and that the feedback connection is the proper one to generate a maximal length sequence. Answer the following questions:

(a) How long is the sequence before it repeats?

(b) What is the period of the generated sequence in milliseconds?

(c) Provide a sketch of the auto correlation function of the generated sequence. Provide critical dimensions.

(d) What is the spacing between spectral lines in the power spectrum of this sequence?

(e) What is the height of the spectral line at zero frequency? How is this related to the DC level of the m-sequence?

(f) At what frequency is the first null in the envelope of the power spectrum?