fft using labview
- 1. A project report submitted in fulfillments of the requirements for the award of degree of BACHELOR OF TECHNOLOGY IN ELECTRONICS AND COMMUNICATION ENGINEERING IMPLEMENTATION OF FAST FOURIERTRANSFORMATION USING LABVIEW Prepared by •B .SUMA 13951A0494 • R.BHAVANA 13951A0458 •A.SHAMALA 13951A0409 •B.KARTHIK 13951A0470 Under The Guidance Of G.ANIL REDDY Assistant Professor ECE, IARE
- 2. Fast Fourier Transformation Introduction The Fast Fourier Transform is an algorithm optimization of the DFT— Discrete Fourier Transform. The “discrete” part just means that it’s an adaptation of the Fourier Transform, a continuous process for the analog world, to make it suitable for the sampled digital world. The results of the FFT are the same as with the DFT, the only difference is that the algorithm is optimized to remove redundant calculations
- 3. DEFINITION The fast Fourier transform maps time-domain functions into frequency-domain representations. FFT is derived from the Fourier transform equation, which is: where x(t) is the time domain signal, X(f) is the FFT, and ft is the frequency to analyze Fast Fourier Transform, or FFT, is any algorithm for computing the N- point DFT with a computational complexity of O(N log N). It is not a new transform, but simply an efficient method of calculating the DFT of x(n). .
- 4. FFT ALGORITHM IF WE ASSUME THAT N IS EVEN,WE CAN WRITE THE N POINT DFT OF X(N ) AS
- 5. N-POINT FFT TWIDDLE FACTOR EQUATION
- 7. HOW IT IS APPLIED FFT is derived by cooley-tukey algorithm. It is also called as RADIX-2 algorithm. This is a divide and conquer algorithm that recursively breaks down a DFT of any composite size N = N1N2into many smaller DFTs of sizes N1 and N2, along with O(N) multiplications by complex roots of unity traditionally called twiddle factors. WHY WE ARE USING IN LABVIEW? LabVIEW is an integrated development environment designed specifically for engineers and scientists building measurement and control systems. LabVIEW is a flexible programming environment that can help successfully build unique application, by taking simple measurements .
- 8. system labview Front panel block diagram Input and output display
- 10. FRONT PANEL FOR GIVING INPUTS AND DISPLAYING OUTPUTS
- 11. APPLICATIONS OF FFT FFT's importance derives from the fact that in signal processing and image processing it has made working in frequency domain equally computationally feasible as working in temporal or spatial domain. FFT is a powerful signal analysis tool applicable to a wide variety of fields including spectral analysis. Digital filtering. Medical imaging. Numerical analysis. Instrumentation and communications.
- 12. THANK YOU!!!