diff --git a/libavcodec/aac.h b/libavcodec/aac.h
index 2701386376..23ec085d8e 100644
--- a/libavcodec/aac.h
+++ b/libavcodec/aac.h
@@ -143,6 +143,7 @@ typedef struct PredictorState {
 
 #define NOISE_PRE       256    ///< preamble for NOISE_BT, put in bitstream with the first noise band
 #define NOISE_PRE_BITS    9    ///< length of preamble
+#define NOISE_OFFSET     90    ///< subtracted from global gain, used as offset for the preamble
 
 /**
  * Long Term Prediction
diff --git a/libavcodec/aacenc.c b/libavcodec/aacenc.c
index 5288afb4a2..7f6f4b923d 100644
--- a/libavcodec/aacenc.c
+++ b/libavcodec/aacenc.c
@@ -388,7 +388,7 @@ static void encode_band_info(AACEncContext *s, SingleChannelElement *sce)
 static void encode_scale_factors(AVCodecContext *avctx, AACEncContext *s,
                                  SingleChannelElement *sce)
 {
-    int diff, off_sf = sce->sf_idx[0], off_pns = sce->sf_idx[0];
+    int diff, off_sf = sce->sf_idx[0], off_pns = sce->sf_idx[0] - NOISE_OFFSET;
     int noise_flag = 1;
     int i, w;