Properties of Bandwidth-Limited Signals
- Frequency Spectrum: Bandwidth-limited signals exhibit a well-defined frequency spectrum.
- The spectrum represents the distribution of frequency components present in the signal. For a bandwidth-limited signal, the spectrum is confined to a certain range of frequencies, with negligible energy beyond the bandwidth limits.
- Finite Duration: These signals typically have finite durations. Due to the limited range of frequencies, the signal cannot extend infinitely in time.
- The duration of the signal is inversely related to its bandwidth following the principles of the Heisenberg uncertainty principle.
- Smoothness: Bandwidth-limited signals tend to have smoother transitions between different frequency components.
- The limited range of frequencies prevents abrupt changes or high-frequency oscillations resulting in a more continuous and coherent signal.
- Nyquist-Shannon Sampling Theorem: According to this theorem in order to accurately reconstruct a bandwidth-limited signal. it must be sampled at a rate higher than twice its bandwidth.
- This principle underlines the importance of proper sampling in maintaining signal integrity.
Bandwidth-Limited Signals
In the article we will learn about Bandwidth-Limited Signals, The signals play a fundamental role in various fields from telecommunications to audio processing. This article will delve into the definition, properties, and applications of bandwidth-limited signals shedding light on their significance in modern technology.