This lecture covers the Discrete-Time Fourier Transform (DTFT), which decomposes a signal into a weighted integral of complex exponentials, useful for analyzing stable LTI systems and generalizing Fourier Series. The instructor explains the definition, properties, and examples of DTFT, emphasizing its all-periodic nature.
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Provides a comprehensive review of signals and systems, covering topics such as time-domain analysis, frequency-domain analysis, and Fourier transform.
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.
