Since its development, the Fast Fourier Transform (FFT) algorithms have revolutionized the field of signal processing. They allow the calculation of the Discrete Fourier Transform in real time. This is utilized extensively in engineering in fields as diverse as OFDM communications, condition monitoring systems etc.
The purpose of this coursework will be to investigate and document the development of the FFT algorithm, from the development of the Fourier series through to the FFT. Ensuring that the report also covers the following areas.
1. The derivation of the radix-2 decimation in time FFT algorithm, giving the signal flow graph for an 8 point FFT. (Describe explicity the butterflies required in the FFT)
2. Discuss spectral leakage and how window functions can be utilized to reduce the effect of this.
3. Discuss the computational advantage gained by using the FFT algorithms in terms of multiplications and additions, and discuss what has to be done to the data before the computations are performed, (what is the algorithm for this?).
The above should be written as a report on the fft, with the following question answered at the end.
1. Take the fft in Matlab of the sound file from laboratory 3 ([login to view URL]), plot the magnitude and phase spectrums of the fft of this signal, labelling all axis. Repeat this in the range –f/2:f/2. (Hint: Investigate plotting phase in Matlab).
Performing the above will provide information about the frequency spectrum calculated over the duration of the entire signal, which removes all temporal information. Investigate and describe, how to obtain information in both the time and frequency domain for the above signal. Use Matlab to aid you your description, giving appropriate plots and explanation of the time-frequency algorithm(s). Use the above signal and any other as required.
Comment clearly all code.
In this instance it is acceptable and advised to use existing software, online or existing within Matlab to perform the above, providing appropriate referencing is utilized. (Hint: Search for Time Frequency Matlab).
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Dear siir
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Hi. My name is Uzair.I did my masters in Electrical Engineering. I have done my thesis in biomedical signal processing and Machine learning.
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Expertise in MATLAB and digital signal processing with a substantial background in fourier transform
I have completed various protects related this field as you can view my profile for completed projects. I can provide you your complete task in decided time frame with quality work.
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Hello, I am an electrical and electronic engineer with an experience of more than 3 years. I have good knowledge in signal processing and circuits. I have read your requirement and I think I can complete your project successfully. Let me know if you are interested. Thank you!
Hi, we have experienced team of Engineers. We have understood that you need DSP expert using Matlab. We offer our services for this project. We have made many DSP based projects using Matlab as follows;
• Filtering of a voice signal using multiple filters.
• Speech Recognition System using Bayesian Framework.
• Applying the 3-bit uniform Quantization on the discrete time speech signal.
• QPSK modulation of the quantized speech signal.
• Investigating the effect of noise on QPSK symbols of the quantized speech signal.
• Oversampling/ Interpolation of the QPSK modulated quantized speech signal.
• Design of Root Raised Cosine filter for the oversampled QPSK data.
• Blind Source separation techniques on Functional MRI images.
• Generating binary messages using Filtering and Fourier series.
• Comparison between theoretical and simulation of 4-PAM.
• Comparison of Fourier transform of signals having different sampling rates.
• Plot input and output time sequences and their fourier transform sequences of LTI system.
We ensure you to complete your project efficiently in time.
Hi, I have understood that you need DSP expert using Matlab to investigate and document the development of the FFT algorithm, from the development of the Fourier series through to the FFT. I offer my services for this project. I have made many DSP based projects using Matlab as follows;
• Filtering of a voice signal using multiple filters.
• Speech Recognition System using Bayesian Framework.
• Generating binary messages using Filtering and Fourier series.
• Comparison of Fourier transform of signals having different sampling rates.
• Plot input and output time sequences and their fourier transform sequences of LTI system.
• Comparison between theoretical and simulation of 4-PAM.
• Applying the 3-bit uniform Quantization on the discrete time speech signal.
• QPSK modulation of the quantized speech signal.
• Investigating the effect of noise on QPSK symbols of the quantized speech signal.
• Oversampling/ Interpolation of the QPSK modulated quantized speech signal.
• Design of Root Raised Cosine filter for the oversampled QPSK data.
• Blind Source separation techniques on Functional MRI images.
I ensure you to provide project efficiently in time.
I have been working with FFT for more than 15 years now, both theoretically and practically. I am hopeful that I shall be able to meet your requirements, in the given time frame.