Design and Simulation of a Linear Prolate Filter for a Baseband Receiver

Abstract

Digital signals transmitted over a communication channel are mostly affected by noise. To reduce the detrimental effects of noise, a band-limited filter is used at the receiver, which results a phenomenon known as Inter-Symbol Interference. To avoid Inter-Symbol Interference, filters with greater bandwidth can be used. However, this causes high frequency noise to interfere with the transmitted information signal. This paper illustrates an innovative way to reduce Inter-Symbol Interference in the received baseband signal. This is achieved by making use of the processing bandwidth of a special filter designed by using Linear Prolate Functions. The result of the signal reconstruction capabilities of a prolate filter are compared with those of an ideal low pass filter in this paper.

Prototype Filter for QAM-FBMC Systems Based on Discrete Prolate Spheroidal Sequences (DPSS)

“…The DPSS has a wide range of classical signal processing applications [32]- [38]. Compressive sensing [33], parametric waveform and detection of extended targets [34], wall clutter mitigation and target detection [35], design of baseband receivers [36], fiber bragg grating (FBG) sensors for optical sensing systems [37], and multipath suppression for continuous waves [38] are just few examples.…”

Linear Prolate Functions for Signal Extrapolation with Time Shift

“…Some of the mentioned mathematical properties make the prolate functions easily applicable to optics [3]. In particular, we are interested in the problem of determining a bandlimited function from the knowledge of a finite segment of the function, since it is relevant in many practical situations from application to filters in communication systems [4] to optical systems when, for example, due to intrinsic instrumental limits, only limited observation data are available.…”