MIMO Transadmittance Amplifier Feedback for Wideband Matrix Control
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Solution Overview
Problem
Designing a multiple-input and multiple-output transadmittance amplifier with a non-diagonal transfer admittance matrix is challenging, especially when n is greater than or equal to 3, and achieving a wide bandwidth is difficult with existing designs.
Innovation Solution
A multiple-input and multiple-output amplifier is developed with n active sub-circuits and a feedback network, where the feedback network produces negative feedback to approximate a given non-diagonal and invertible admittance matrix, using linear, passive, and reciprocal circuit elements to stabilize the transfer admittance matrix.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If a multiple-input and multiple-output amplifier with n≥3 is designed using conventional approaches, then the transfer admittance matrix can be implemented, but the bandwidth becomes limited and the design becomes increasingly difficult
Solution Approach 1:
The amplifier is divided into n independent active sub-circuits, each handling one input-output pair. This segmentation allows each sub-circuit to be optimized independently, maintaining wide bandwidth performance while achieving the desired non-diagonal transfer admittance matrix through the collective action of all sub-circuits.
Solution Approach 2:
A feedback network is introduced to provide negative feedback to each active sub-circuit. This feedback mechanism stabilizes the transfer admittance matrix and extends the bandwidth by compensating for frequency-dependent variations in the sub-circuits' characteristics.
2Adaptability or versatility
If the number of input-output pairs (n) is increased to achieve more complex signal processing, then the functionality is improved, but the design complexity and difficulty increase significantly
Solution Approach 1:
By segmenting the amplifier into n independent active sub-circuits, the design complexity is managed through modularity. Each sub-circuit can be designed and analyzed separately, making the overall design process scalable and systematic rather than requiring complex multi-variable optimization.
Solution Approach 2:
Each active sub-circuit is designed with universal characteristics that allow it to function independently while contributing to the overall non-diagonal transfer admittance matrix. This universality simplifies the design process as the same basic sub-circuit topology can be replicated n times with different parameter values.
3Measurement precision
If existing amplifier designs are used to achieve a non-diagonal transfer admittance matrix, then the matrix approximation is obtained, but the bandwidth is restricted and the performance is compromised
Solution Approach 1:
The feedback network provides negative feedback that actively compensates for deviations from the desired transfer admittance matrix across a wide frequency range. This feedback mechanism maintains high approximation accuracy while extending the bandwidth beyond what conventional designs achieve.
Solution Approach 2:
The amplifier design incorporates dynamic elements that allow the transfer admittance matrix to maintain its approximate form across varying frequencies. The active sub-circuits and feedback network work together to dynamically adjust the system's response, ensuring accurate matrix approximation throughout the extended bandwidth.
Data Source
AI summary
The invention relates to an amplifier capable of producing a plurality of currents at its output terminals, these currents being controlled by a plurality of input voltages. A multiple-input and multiple-output amplifier of the invention includes 4 signal input terminals, 4 signal output terminals, 4 active sub-circuits and a feedback network. Each active sub-circuit has a sub-circuit input terminal connected to one of the signal input terminals, a sub-circuit output terminal connected to one of the signal output terminals and a sub-circuit common terminal. The feedback network has terminals connected to the sub-circuit common terminal of each active sub-circuit. The feedback network presents, in a known frequency band, an impedance matrix producing a negative feedback such that the transfer admittance matrix of the multiple-input and multiple-output amplifier approximates a given admittance matrix.