@mjcollege.ac.in
Assistant Professor and ECE
Muffakham Jah College of Engineering and Technology
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Md. Zakir Hussain and Kazi Nikhat Parvin
Institute of Advanced Engineering and Science
<p>FFT is one of the most active blocks in digital signal processing and in various field of communication systems. FFT has received significant attention over the past years to increase its capability and versatility. This paper describes an extensive study on trade-off of different radices with different computational elements of butterfly such as adders and multipliers. Finding an efficient radix along with computational elements is the key point to find best suite i.e. high precision, low power and low area applications like radar, filtering, image compression etc. The work also considers the precision and the data format to represent constant value such as Q-point. The proposed FFT architectures not only uphold better solutions for low power and high-performance application systems, but also open up a new research lines. This paper demonstrates that radix-2^3 consumes 43% less LUTs and 17% less power consumption, 40% increase of frequency in radix-2^2 in comparison with radix- 2 algorithm for the combination of CSA with modified booth multiplier and the increment of frequency about 19%, 26% less LUTs consumption and 26% less power in Radix-2^2 when compared to radix-4 with various combination of adder and multiplier. In this work we have used Xilinx 14.7 XST for synthesis and the target device used is Spartan6 XC6SLX100. Simulation is carried out in Xilinx ISIM and also performed timing analysis and generated post-place and route.</p>
Kazi Nikhat Parvin and Md. Zakir Hussain
IEEE
Fast Fourier transform (FFT) is always an accepted topic for research from past many years for different applications in digital system. Implementation of FFT processor is an active growing field with possible advances. This work focuses on datapath unit of a FFT processor and presents low complexity and less area consuming datapath unit of FFT by combining algorithms, arithmetic and architecture. Implementation of radix-2, radix-4 and radix-2⁁2 FFT algorithm will be done using different types of multipliers such as Array multiplier, Vedic multiplier and different type of adders like Ripple carry adder and Carry save adder which are represented in fixed point (Q-format) for N=8, 16 points. Synthesize is done to know the performance of LUTs, delay (ns) and Frequency (MHZ) of different radices. Simulation is performed using Verilog code on Spartan6 family. Xilinx ISE 14.7.
Kazi Nikhat Parvin and Md. Zakir Hussain
IEEE
This study represents designing and implementation of a Low pass Finite Impulse Response(FIR) filter of order 10. The set of frequencies utilized are that of a hearing aid. To optimise filter area different multiplication techniques such as constant multiplier, booth multiplier, modified booth multiplier and vedic multiplier have been used to multiply filter coefficient with the input sequence. Adders such as Ripple carry adder, carry save adder, carry look ahead adders have been used to add the product terms. A comparision is made between two different structures, to know the best structure. The Finite Impulse Response(FIR) filter is designed in MATLAB using equirriple method the same is synthesised on xilinx 14.7, spartan 3E XC3S500E whose simulation and synthesis results have been incorporated in the paper.
Kazi Nikhat Parvin, Md. Zakir Hussain, and Md. Ali Ghazi Islam
IEEE
Fast Fourier transform (FFT) is always an accepted topic for research from past many years for different applications in the digital system. The computational unit of FFT consists butterfly units which have complex multiplication and complex addition. As multipliers are the basic computational element and also the slow and power consuming element in the processor special multipliers are used to overcome the downside. In this study, we have proposed a computationally efficient Fast Fourier Transform (FFT) based on radix-2 and radix-4 decimation in frequency algorithm, where different multipliers are carried out in FFT algorithm and parameters are compared. This entire work is performed on Xilinx ISE 14.7 and implemented on FPGA Xilinx vertex6 xc6vlx760-2ff1760.
Kazi Nikhat Parvin, Md. Zakir Hussain, and Md. Ali Ghazi Islam
IEEE
This paper presents a floating point arithmetic modules which are useful for many real time applications such as FFT processor where complex butterfly operations are performed, in which precision and accuracy play a pivotal role in bio-medical and signal processing applications. When compared to fixed point representation, floating point arithmetic provides high precision which helps in increasing the accuracy. This proposed work reduces delay, area and power. Post place and route simulation results have been performed using Xilinx PAR tool on the device Virtex-5 XC5VLX50T — FFl136 and results are proven to be more efficient.
Md. Zakir Hussain, Kazi Nikhat Parvin, and Zeba Fatima Mir Ilyas Ali
IEEE
This paper proposes a FFT processor design for DAB and WiMAX applications whose efficiency is improved in terms of performance. The design is optimized for power. The 2D 256 point FFT employs Radix-16 algorithm which significantly minimizes the number of complex computations. The architecture is pipelined, with 10 bit real and imaginary inputs. The proposed pipelined FFT architecture has the advantage of reduced computational complexity along with less power consumption. The design makes use of the constant multipliers that were successfully designed and implemented to reduce the hardware complexity and speed was improved to a greater extent when compared with the existing constant multipliers. Compared with the few existing FFT processors, the synthesized results shows that the designed FFT processor reduces the power to a greater extent.
Md. Zakir Hussain, Kazi Nikhat Parvin, and Zeba Fatima Mir Ilyas Ali
IEEE
Multiplication of the data with several constants forms the basis for many Digital Signal Processing (DSP) and multimedia applications like in Digital Filtering, in Image Processing DCT and DFT. Most portable devices or handheld devices such as MP3 players, mobile phones, DSLR etc involves large number of multiplications with the several constants. FFT processors also involve large number of complex multiplication operations. As the multiplication operation takes more time they result in an increased delay in the FFT processors with larger area and energy consumption. This paper presents an hardware efficient implementation of the constant multiplier which make use of Q-Format representation to improve the speed of the multipliers as speed plays a crucial role in FFT processors along with Common Subexpression Elimination (CSE) technique and Canonical Signed Digit (CSD) representation to reduce the number of adders hence reduce hardware usage. The design is coded for 8bits, 10 bits and 16 bits fractional fixed point multiplications using Verilog and has been implemented in Altera, device Cyclone IIEP2C35F672C6.