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Logic Mind Technologies
Vijayangar (Near Maruthi Medicals), Bangalore-40
Ph: 8123668124 // 8123668066
Critical-Path Analysis and Low-Complexity
Implementation of the LMS Adaptive
Algorithm
Abstract—This paper presents a precise analysis of the critical path of the least-
mean-square (LMS) adaptive filter for deriving its architectures for high-speed and
low-complexity implementation. It is shown that the direct-form LMS adaptive
filter has nearly the same critical path as its transpose-form counterpart, but
provides much faster convergence and lower register complexity. From the critical-
path evaluation, it is further shown that no pipelining is required for implementing
a direct-form LMS adaptive filter for most practical cases, and can be realized with
a very small adaptation delay in cases where a very high sampling rate is required.
Based on these findings, this paper proposes three structures of the LMS adaptive
filter: (i) Design 1 having no adaptation delays, (ii) Design 2 with only one
adaptation delay, and (iii) Design 3 with two adaptation delays. Design 1 involves
the minimum area and the minimum energy per sample (EPS). The best of existing
direct- form structures requires 80.4% more area and 41.9% more EPS compared
to Design 1. Designs 2 and 3 involve slightly more EPS than the Design 1 but offer
nearly twice and thrice the MUF at a cost of 55.0% and 60.6% more area,
respectively.
SOFTWARE REQUIREMENT:
 ModelSim6.4c.
 Xilinx 9.1/13.2.
HARDWARE REQUIREMENT:
 FPGA Spartan 3.
PROJECT FLOW:
First Review:
Literature Survey
Paper Explanation
Design of Project
Project Enhancement explanation
Second Review:
Implementing 40% of Base Paper
Third Review
Implementing Remaining 60% of Base Paper with Future Enhancement (Modification)
For More Details please contact
Logic Mind Technologies
Vijayangar (NearMaruthi Medicals), Bangalore-40
Ph: 8123668124 // 8123668066
Mail: logicmindtech@gmail.com

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Critical path analysis and low-complexity implementation of the lms adaptive algorithm

  • 1. Logic Mind Technologies Vijayangar (Near Maruthi Medicals), Bangalore-40 Ph: 8123668124 // 8123668066 Critical-Path Analysis and Low-Complexity Implementation of the LMS Adaptive Algorithm Abstract—This paper presents a precise analysis of the critical path of the least- mean-square (LMS) adaptive filter for deriving its architectures for high-speed and low-complexity implementation. It is shown that the direct-form LMS adaptive filter has nearly the same critical path as its transpose-form counterpart, but provides much faster convergence and lower register complexity. From the critical- path evaluation, it is further shown that no pipelining is required for implementing a direct-form LMS adaptive filter for most practical cases, and can be realized with a very small adaptation delay in cases where a very high sampling rate is required. Based on these findings, this paper proposes three structures of the LMS adaptive filter: (i) Design 1 having no adaptation delays, (ii) Design 2 with only one adaptation delay, and (iii) Design 3 with two adaptation delays. Design 1 involves the minimum area and the minimum energy per sample (EPS). The best of existing direct- form structures requires 80.4% more area and 41.9% more EPS compared to Design 1. Designs 2 and 3 involve slightly more EPS than the Design 1 but offer nearly twice and thrice the MUF at a cost of 55.0% and 60.6% more area, respectively.
  • 2. SOFTWARE REQUIREMENT:  ModelSim6.4c.  Xilinx 9.1/13.2. HARDWARE REQUIREMENT:  FPGA Spartan 3. PROJECT FLOW: First Review: Literature Survey Paper Explanation Design of Project Project Enhancement explanation Second Review: Implementing 40% of Base Paper Third Review Implementing Remaining 60% of Base Paper with Future Enhancement (Modification) For More Details please contact Logic Mind Technologies Vijayangar (NearMaruthi Medicals), Bangalore-40 Ph: 8123668124 // 8123668066 Mail: logicmindtech@gmail.com