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

Hyperbolic frequency modulation (HFM) is better than LFM for high radial velocities. The HFM phase is

(1) = In 1+ Hat Ph 000

where , is an HFM coefficient and a is a constant.

(a) Give an expression for the instanta- neous frequency of an HFM pulse of duration t'h.

(b) Show that HFM can be approximated by LFM. Express the LFM coefficient , in terms of , and in terms of B and t'.

(1) = In 1+ Hat Ph 000

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