The Nyquist Sampling Theorem is a fundamental principle in signal processing and communication systems. It states the minimum sampling rate required to convert a continuous-time signal into a discrete-time signal without losing information. Statement of Nyquist Sampling Theorem The Nyquist sampling theorem states: “A band-limited signal can be perfectly reconstructed from its samples if the …
Ideal sampling is the theoretical process of converting a continuous-time signal into a discrete-time signal by multiplying the signal with a train of impulse functions. In this method, the signal is sampled at exact instants of time, producing impulses whose amplitudes are equal to the instantaneous value of the signal. Ideal sampling is mainly …
Natural sampling is a sampling technique used in communication systems where the continuous-time signal is multiplied by a periodic train of rectangular pulses. In this method, the top of each sampling pulse follows the shape of the input signal rather than remaining constant. Natural sampling is an intermediate method between ideal sampling and flat-top sampling …
Flat-top sampling is a practical sampling technique used in analog-to-digital conversion (ADC) and pulse amplitude modulation (PAM) systems. Unlike ideal sampling, where samples are represented by impulses, flat-top sampling holds the sampled value constant for a short duration, producing pulses with flat tops. This method is widely used in real electronic systems because it is …
A Linear Time-Invariant (LTI) system is a fundamental concept in signal processing, control systems, and communication engineering. Such systems are characterized by two important properties: linearity and time invariance. Because of these properties, LTI systems are mathematically convenient and widely used for analyzing signals and systems. Linearity Property A system is said to be linear …
Bounded-Input Bounded-Output (BIBO) Stability is an important concept in control systems and signal processing. It describes a system whose output remains bounded whenever the input is bounded. This type of stability is commonly used to determine whether a linear time-invariant (LTI) system behaves in a stable manner. Definition of Bounded-Input Bounded-Output (BIBO) Stability A system …
The Signal-to-Noise Ratio (SNR) is an important parameter in communication systems that measures the strength of a desired signal relative to the background noise present in the system. It indicates how clearly a signal can be received or processed in the presence of noise. A higher SNR means the signal is much stronger than the …
Stereophonic transmission is a method of sound broadcasting in which two separate audio channels are transmitted simultaneously to reproduce sound with a sense of direction and spatial realism. It allows the listener to perceive sound as coming from different directions, similar to natural hearing. This technique is widely used in FM radio broadcasting, television sound …
The slope detector is one of the simplest methods used for FM demodulation. It converts the frequency variations of an FM signal into amplitude variations, which are then detected using an envelope detector. Although simple in design, the slope detector is not widely used in practical communication systems due to its poor performance and sensitivity …
FM demodulation is the process of recovering the original modulating signal from a frequency modulated (FM) wave. In frequency modulation, the frequency of the carrier varies according to the message signal, while the amplitude remains constant. Therefore, the demodulator must convert frequency variations back into voltage variations corresponding to the original signal. Mathematical Representation of …