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@@ -14,9 +14,7 @@
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| **Signature** | [swma_signature](swma_signature.md) |
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- SWMA applies triangular (symmetric) weights that peak at the center of the window and taper linearly to the edges.
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- Parameterized by `period` (default 4).
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- Output range: Tracks input.
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- Requires `period` bars of warmup before first valid output (IsHot = true).
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- **Similar:** [WMA](../wma/wma.md), [SMA](../sma/Sma.md) | **Trading note:** Symmetric-Weighted MA; bell-shaped weight profile centered on middle. Reduces end-point bias.
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- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
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SWMA applies triangular (symmetric) weights that peak at the center of the window and taper linearly to the edges. For period $N$, the weight at position $i$ is $w(i) = (N/2 + 1) - |i - N/2|$, producing a tent-shaped kernel. This is mathematically equivalent to convolving two rectangular windows (SMA of SMA), giving SWMA a frequency response that is the square of the SMA's sinc-like response. The result is smoother than SMA with better sidelobe suppression, at the cost of slightly more lag.
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@@ -126,4 +124,4 @@ O(N) per bar. For default N = 14: ~59 cycles. Triangular weights are strictly po
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| Symmetric triangular window | Yes | Fold: only ⌈N/2⌉ unique weights; halves FMA count |
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| Cross-bar independence | Yes | 4 output bars per AVX2 pass |
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Symmetric folding reduces the effective FMA count to ⌈N/2⌉. For N = 14: 7 FMAs per bar. AVX2 batch throughput: ~N/8 cycles per bar. Among the windowed FIR filters, SWMA has the fewest effective operations due to its simple triangular shape.
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Symmetric folding reduces the effective FMA count to ⌈N/2⌉. For N = 14: 7 FMAs per bar. AVX2 batch throughput: ~N/8 cycles per bar. Among the windowed FIR filters, SWMA has the fewest effective operations due to its simple triangular shape.
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