Two-Stage FRM Filter Layout With Flexible Interpolation Factors
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Solution Overview
Problem
Conventional two-stage FRM filters are constrained by the equation M=kP=kQ, limiting the range of interpolation factors and resulting in a periodic second-stage output, which restricts the reduction of filter complexity and increases hardware complexity and power consumption.
Innovation Solution
An improved design method for a two-stage FRM filter that relaxes the constraint among interpolation factors M, P, Q, allowing for a wider range of values and optimizing the filter structure to reduce complexity and power consumption by optimizing the transfer function H(z) and calculating passband and stopband edges without the constraint M=kP=kQ.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If the constraint condition M=kP=kQ is applied in conventional two-stage FRM filters, then the filter structure is simplified and design is easier, but the range of interpolation factors is limited and the second-stage output becomes periodic which increases filter complexity and hardware power consumption
Solution Approach 1:
The patent changes the constraint parameters from the conventional M=kP=kQ relationship to independent selection of M, P, and Q. This parameter change allows the interpolation factors to be chosen independently based on specific design requirements, expanding the range of possible filter configurations while reducing complexity through optimized parameter selection.
2Ease of manufacture
If the constraint condition M=kP=kQ is applied, then design process is simpler, but hardware power consumption increases due to periodic second-stage output
Solution Approach 1:
By changing the design parameters from constrained M=kP=kQ to independent M, P, Q selection, the patent enables optimization of power consumption through appropriate parameter choice while maintaining design simplicity through systematic design procedures.
Solution Approach 2:
The patent introduces dynamic flexibility by allowing different interpolation factor combinations for different design scenarios. This dynamic approach enables the filter to adapt its configuration to minimize power consumption while maintaining ease of design through established procedures.
3Device complexity
If independent interpolation factors M, P, Q are used without constraint, then filter complexity is reduced and power consumption decreases, but the design and optimization process becomes more complex
Solution Approach 1:
The patent applies preliminary action by establishing systematic design procedures and optimization methods before the actual filter design process. This includes predefined steps for selecting interpolation factors, calculating filter parameters, and optimizing the structure, which simplifies the overall design process despite the increased flexibility of independent parameter selection.
Data Source
AI summary
An improved design method of a two-stage FRM filter includes the following steps: constructing an improved two-stage FRM filter; calculating passband and stopband edge parameters of a prototype filter, passband and stopband edge parameters of a second-stage masking filter and passband and stopband edge parameters of a first-stage masking filter in Case A and Case B, respectively; calculating the complexity of the FRM filter according to the obtained parameters, and finding out one or more sets [M, P, Q] having the lowest complexity within a search range; and optimizing the improved FRM filter. The improved design method of a two-stage FRM filter has the following beneficial effect: as compared to a conventional design method of a two-stage FRM filter, the complexity of a narrow-band FIR (Finite Impulse Response) filter can be reduced through design using the improved method, and power consumption is thus reduced in hardware implementation.