Prove that the inversion integral reduces to f ( t ) = − 1 2 π ∫ − ∞ ∞ B ( ω ) sin ω t d ω when f ( t ) is a real, odd function of t .

Question

Want to see the full answer?

Answer 1

Question

Chapter 17, Problem 7P

To determine

Prove that the inversion integral reduces to f(t)=−12π∫−∞∞B(ω)sinωtdω when f(t) is a real, odd function of t.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

The former expert solved the question, but I didn't understand how he simplified the fractions. A communication satellite is in stationary (synchronous) orbit about the carch (assume altitude of 22.300 statute miles). Its transmitter generates 8.0 W. Assume the transmit- ting antenna is isotropic. Its signal is received by the 210-ft diameter tracking parabo- loidal antenna on the earth at the NASA tracking station at Goldstone, California. Also assume no resistive loss in either antenna, perfect polarization match, and perfect impedance match at both antennas. At a frequency of 2 GHz, determine the: (a) power density (in watts/m²) incident on the receiving antenna. (b) power received by the ground-based antenna whose gain is 60 dB.

Don't use ai to answer I will report you answer

A communication satellite is in stationary (synchronous) orbit about the earch (assume altitude of 22.300 statute miles). Its transmitter generates 8.0 W. Assume the transmit- ting antenna is isotropic. Its signal is received by the 210-ft diameter tracking parabo- loidal antenna on the earth at the NASA tracking station at Goldstone, California. Also assume no resistive loss in either antenna, perfect polarization match, and perfect impedance match at both antennas. At a frequency of 2 GHz. determine the: (a) power density (in watts/m²) incident on the receiving antenna. (b) power received by the ground-based antenna whose gain is 60 dB.