Frequency Shifting and Modulation
Explore how frequency shifting and modulation affect signals in digital signal processing. Understand the impact of multiplying signals by complex and real sinusoids, and see how these operations shift signal spectra using Fourier Transform properties. This lesson helps you analyze and manipulate signals effectively in time and frequency domains.
We'll cover the following...
We'll cover the following...
Given a signal, a shift in time results in a product between the original signal spectrum and a frequency-domain complex sinusoid. This has a counterpart in the frequency domain, as follows.
Complex signals
If we multiply a signal with a complex sinusoid in the time domain, we get a shift in the signal spectrum. Let’s call this new signal .
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