Discrete Fourier Transform: Approach To Signal Processing
نویسندگان
چکیده
There are three different way to calculate DFT. First method is using formula of DFT or simultaneous equation. Second is Correlation technique and third one is using Fast Fourier Transform (FFT). First method is useful for understanding of basic idea of DFT, but it is not fit for practical and application purpose. In second method is based on detecting known waveform in another signal. It is used for some specified application. This method is used, when DFT has less than about 32 points. Third method is genius method, where FFT algorithm decomposes a DFT with N points, into N DFTs each with single point It is faster than DFT. These all three methods produce an identical output. Here we focused on FFT. This paper described about of DFT using FFT and its MATLAB implementation. The FFT spectrums for the outputs are analysed.
منابع مشابه
Sampling Rate Conversion in the Discrete Linear Canonical Transform Domain
Sampling rate conversion (SRC) is one of important issues in modern sampling theory. It can be realized by up-sampling, filtering, and down-sampling operations, which need large complexity. Although some efficient algorithms have been presented to do the sampling rate conversion, they all need to compute the N-point original signal to obtain the up-sampling or the down-sampling signal in the tim...
متن کاملWindowing Effects of Short Time Fourier Transform on Wideband Array Signal Processing Using Maximum Likelihood Estimation
During the last two decades, Maximum Likelihood estimation (ML) has been used to determine Direction Of Arrival (DOA) and signals propagated by the sources, using narrowband array signals. The algorithm fails in the case of wideband signals. As an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time Fourier tran...
متن کاملWindowing Effects of Short Time Fourier Transform on Wideband Array Signal Processing Using Maximum Likelihood Estimation
During the last two decades, Maximum Likelihood estimation (ML) has been used to determine Direction Of Arrival (DOA) and signals propagated by the sources, using narrowband array signals. The algorithm fails in the case of wideband signals. As an attempt by the present study to overcome the problem, the array outputs are transformed into narrowband frequency bins, using short time Fourier tran...
متن کاملتخمین مکان نواحی کدکننده پروتئین در توالی عددی DNA با استفاده پنجره با طول متغیر بر مبنای منحنی سه بعدی Z
In recent years, estimation of protein-coding regions in numerical deoxyribonucleic acid (DNA) sequences using signal processing tools has been a challenging issue in bioinformatics, owing to their 3-base periodicity. Several digital signal processing (DSP) tools have been applied in order to Identify the task and concentrated on assigning numerical values to the symbolic DNA sequence, then app...
متن کاملA Review of Application of Signal Processing Techniques for Fault Diagnosis of Induction Motors – Part I
Abstract - Use of efficient signal processing tools (SPTs) to extract proper indices for fault detection in induction motors (IMs) is the essential part of any fault recognition procedure. The Part1 of the two parts paper focuses on Fourier-based techniques including fast Fourier transform and short time Fourier transform. In this paper, all utilized SPTs which have been employed for fault fete...
متن کاملFast algorithms of multidimensional discrete nonseparable -wave transforms
Fast algorithms for a wide class of non–separable n–dimensional (nD) discrete unitary K– transforms (DKT) are introduced. They need less 1D DKTs than in the case of the classical radix–2 FFT–type approach. The method utilizes a decomposition of the nDK–transform into the product of a new nD discrete Radon transform and of a set of parallel/independ 1D K–transforms. If the nD K–transform has a s...
متن کامل