A bat emits an echolocation call that is very close to a single pure tone of frequency
PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Signals, systems, control and digital signal processing · Signals, systems, control and digital signal processing
Mathematical Methods for Physics, Ch Fourier transforms, spectra and convolution
Problem
A bat emits an echolocation call that is very close to a single pure tone of frequency 55kHz. It is recorded on a digital sound recorder that samples at 96kHz, with no analogue filter removing frequencies above half the sampling rate before digitisation.
((a)) State the frequency at which the tone will actually appear in the digitised recording.
((b)) State the sampling rate that the recorder's rate must exceed to record the 55kHz call at its true frequency.