High-Speed Filter Design using Mathematica

Author(s):  
M.D. Lutovac ◽  
D.V. Tosic
Keyword(s):  
Author(s):  
Aleksandra Mitrovic ◽  
Kam K. Leang ◽  
Garrett M. Clayton

Increasing demand for high precision positioning systems has motivated significant research in this field. Within this field, dual-stage nanopositioning systems have the unique potential to offer high-speed and long-range positioning by coupling a short-range, high-speed actuator with a long-range, low-speed actuator. In this paper, design considerations for a spatial filter are presented. The spatial filter allows for control allocation based on range of the signal as opposed to more commonly used frequency-based control allocation. In order to understand the spatial filtering approach more fully, this paper analyzes the filter in detail to understand limitations and give the user a more clear understanding of the approach. Simulation results are included to illustrate aspects of the discussion.


2013 ◽  
Vol 694-697 ◽  
pp. 2535-2539
Author(s):  
K.B Zhang ◽  
J.M Gao ◽  
P.L Jiang

The theory of federal filter based on the Kalman filter is investigated in the design process, as well as the federal filter information distribution. Considering the advantage of parallel computing structure, the FPGA chip is selected and used to realize the IP core encapsulation and design of Federated Filter. The filtering speed is greatly improved to meet federal filter integrated navigation system. A group simulation experiments are conducted. The results shown that the filtering accuracy and filtering time of federal filter are both improved using the proposed method.


In recent years, the filter is one of the key elements in signal processing applications to remove unwanted information. However, traditional FIR filters have been consumed more resources due to complex multiplier design. Mostly the complexity of the FIR filter is dominated by multiplier design. The conventional multipliers can be realized by Single Constant Multiplication (SCM) and Multiple Constant Multiplication (MCM) algorithms using shift and add/subtract operations. In this paper, a hybrid state decision tree algorithm is introduced to reduce hardware utilization (area) and increase speed in filter tap cells of FIR. The proposed scheme generates a decision tree to perform shift & addition and accumulation based on the combined SCM/MCM approach. The proposed FIR filter was implemented in Xilinx Field Programmable Gate Array (FPGA) platform by using Verilog language. The experimental results of the DTG-FIR filter were averagely reduced the 48.259% of LUTs, 51.567 % of flip flops and 44.497 % of slices at 183.122 MHz of operating frequency on the Virtex-5 than existing VP-FIR.


In this research, a highly efficient desensitized FIR filter is designed to enhance the performance of digital filtering operation. With regard to FIR filter design, Multiplication and Accumulation component (MAC) forms the core processing entity. Half-band filters employing Ripple Carry Adder (RCA) based MAC structures have a sizeable number of logical elements, leading to high delay and high power consumption. To minimize these issues, a modified Booth multiplier encompassing SQRT Carry Select Adder (CSLA) based MAC component is proposed for the desensitized filter with reduced coefficients and employing lesser number of logical elements forgiving optimum performance with respect to delay and power consumption. The suggested FIR filter is simulated and assessed using EDA simulation tools from Modelsim 6.3c and Xilinx ISE. The results obtained from the proposed Desensitized FIR filter employing the modified booth multiplier with reduced complexity based SQRT CSLA show encouraging signs with respect to 12.08% reduction in delay and 2.2% reduction in power consumption when compared with traditional RCA based digital FIR filter.


Author(s):  
Sachin B. Jadhav ◽  
Nikhil Niwas Mane

<em><strong> </strong></em>This paper presents the details of hardware implementation of linear phase FIR filter using merged MAC architecture. Speed of convolution operation of FIR filter is improved using merged MAC architecture. By exploiting the reduced complexity made possible by the use of sparse powers of two partial products terms coefficients, an FIR filter tap can be implemented with 2B full adders, and 2B latches, where B is intermediate wordlegnth. Word and bit level parallelism allows high sampling rates, limited only by the full adder delay. The proposed architecture is based on binary tree constructed using modified 4:2 and 5:2 compressor circuits. Increasing the speed of operation is achieved by using higher modified compressors in critical path. Our objective of work is, to increase the speed of multiplication and accumulation operation by minimizing the number of combinational gates using higher n: 2 compressors, which is required more for Array multiplier at the time of implementation of array architecture. This novel architecture allows the implementation of high sampling rate filters of significant length on FPGA Spartan-3 device (XC3S400 PQ-208). The simulation result shows convolution output of digital FIR filter which is done using Questa Sim 6.4c Mentor Graphics tool. The experimental test of the proposed digital FIR filter is done using Spartan-3 device (XC3S400 PQ-208)


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