Question: 6.12. Hyperbolic frequency modulation (HFM) is better than LFM for high radial velocities. The HFM phase is where is an HFM coefficient and is a

6.12. Hyperbolic frequency modulation (HFM) is better than LFM for high radial velocities. The HFM phase is where is an HFM coefficient and is a constant.

(a) Give an expression for the instantaneous frequency of a HFM pulse of duration .

(b) Show that HFM can be approximated by LFM. Express the LFM coefficient in terms of and in terms of and .

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