| 1. |
- Cheng, Yuanbo, et al.
(författare)
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CRB Analysis for Mod-ADC with Known Folding-Count
- 2023
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Ingår i: 2023 IEEE 98th Vehicular Technology Conference, VTC 2023-Fall - Proceedings. - : Institute of Electrical and Electronics Engineers (IEEE).
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Konferensbidrag (refereegranskat)abstract
- To overcome the dynamic range problems that conventional coarse quantized analog-to-digital converters (ADCs) suffer from, we consider the modulo ADCs with known folding-count (Mod-ADC-K). Two Cramér-Rao bounds (CRBs) are derived for signal parameter estimation from data generated by Mod-ADC-K, for both quantized and unquantized cases. Then we analyze their characteristics, and compare them to the conventional ADCs. Numerical examples are presented to verify the characteristics of Mod-ADC-K, and show that the low-bit Mod-ADC-K can mitigate the dynamic range problems.
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| 2. |
- Cheng, Yuanbo, et al.
(författare)
-
Interval Design for Signal Parameter Estimation From Quantized Data
- 2022
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Ingår i: IEEE Transactions on Signal Processing. - : Institute of Electrical and Electronics Engineers (IEEE). - 1053-587X .- 1941-0476. ; 70, s. 6011-6020
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Tidskriftsartikel (refereegranskat)abstract
- We consider the problem of optimizing the quantization intervals (or thresholds) of low-resolution analog-to-digital converters (ADCs) via the minimization of a Cramer-Rao bound (CRB)-based metric. The interval design is formulated as a dynamic programming problem. A computationally efficient global algorithm, referred to as the interval design for enhanced accuracy (IDEA) algorithm, is presented to solve this optimization problem. If the realization in hardware of a quantizer with optimized intervals is difficult, it can be approximated by a design whose practical implementation is feasible. Furthermore, the optimized quantizer can also be useful in signal compression applications, in which case no approximation should be necessary. As an additional contribution, we establish the equivalence between the Lloyd-Max type of quantizer and a low signal-to-noise ratio version of our IDEA quantizer, and show that it holds true if and only if the noise is Gaussian. Furthermore, IDEA quantizers for several typical signals, for instance normally distributed signals, are provided. Finally, a number of numerical examples are presented to demonstrate that the use of IDEA quantizers can enhance the parameter estimation performance.
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| 3. |
- Stoica, Peter, 1949-, et al.
(författare)
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The Cramér-Rao Bound for Signal Parameter Estimation From Quantized Data [Lecture Notes]
- 2022
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Ingår i: IEEE signal processing magazine (Print). - : Institute of Electrical and Electronics Engineers (IEEE). - 1053-5888 .- 1558-0792. ; 39:1, s. 118-125
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Tidskriftsartikel (refereegranskat)abstract
- Several current ultrawide band applications, such as millimeter-wave radar and communication systems [1]-[3], require high sampling rates and therefore expensive and energy-hungry analog-to-digital converters (ADCs). In applications where cost and power constraints exist, the use of high-precision ADCs is not feasible, and the designer must resort to ADCs with coarse quantization. Consequently, the interest in the topic of signal parameter estimation from quantized data has increased significantly in recent years.
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| 4. |
- Stoica, Peter, 1949-, et al.
(författare)
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The Monte-Carlo Sampling Approach to Model Selection : A Primer
- 2022
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Ingår i: IEEE signal processing magazine (Print). - : Institute of Electrical and Electronics Engineers (IEEE). - 1053-5888 .- 1558-0792. ; 39:5, s. 85-92
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Any data modeling exercise has two main components: parameter estimation and model selection. The latter will be the topic of this lecture note. More concretely, we introduce several Monte-Carlo sampling-based rules for model selection using the maximum a posteriori (MAP) approach. Model selection problems are omnipresent in signal processing applications: examples include selecting the order of an autoregressive predictor, the length of the impulse response of a communication channel, the number of source signals impinging on an array of sensors, the order of a polynomial trend, the number of components of a nuclear magnetic resonance signal, and so on.
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