diff --git a/notebooks/ofdm_fundamentals/02_ofdm_transceiver.ipynb b/notebooks/ofdm_fundamentals/02_ofdm_transceiver.ipynb
index 282076a..4d281c6 100644
--- a/notebooks/ofdm_fundamentals/02_ofdm_transceiver.ipynb
+++ b/notebooks/ofdm_fundamentals/02_ofdm_transceiver.ipynb
@@ -4,7 +4,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- ""
+ ""
]
},
{
@@ -62,7 +62,7 @@
},
{
"cell_type": "code",
- "execution_count": 85,
+ "execution_count": 757,
"metadata": {},
"outputs": [],
"source": [
@@ -101,14 +101,14 @@
"source": [
"This is very similar to the final OFDM transmitter diagram shown in [OFDM Fundamentals](01_ofdm_fundamentals.ipynb). However, we have now addded a sub-carrier mapping stage after symbol generation. This is necessary because in real OFDM systems, only particular sub-carriers are used to carry data. The remaining sub-carriers are used to carry pilots for phase tracking and channel estimation in the receiver and null sub-carriers to relax the requirements for anti-imaging and anti-aliasing filters in the transmitter and receiver respectively. \n",
"\n",
- "In this notebook, we will use the OFDM symbol structure and sub-carrier mapping scheme employed in the IEEE 802.11a/g (Wi-Fi) standard. However, we will restrict ourselves to the addition of null sub-carriers, since we will not demonstrate phase tracking and will training symbols for channel estimation. The implementation of phase tracking can be seen in the RFSoC demonstration notebook. \n",
+ "In this notebook, we will use the OFDM symbol structure and sub-carrier mapping scheme employed in the IEEE 802.11a/g (Wi-Fi) standard. However, we will restrict ourselves to the addition of null sub-carriers, since we will not demonstrate phase tracking and will employ training symbols for channel estimation. \n",
"\n",
"Let's set some important OFDM parameters: "
]
},
{
"cell_type": "code",
- "execution_count": 86,
+ "execution_count": 758,
"metadata": {},
"outputs": [],
"source": [
@@ -129,7 +129,7 @@
},
{
"cell_type": "code",
- "execution_count": 87,
+ "execution_count": 759,
"metadata": {},
"outputs": [],
"source": [
@@ -155,7 +155,7 @@
},
{
"cell_type": "code",
- "execution_count": 88,
+ "execution_count": 760,
"metadata": {},
"outputs": [],
"source": [
@@ -178,7 +178,7 @@
},
{
"cell_type": "code",
- "execution_count": 89,
+ "execution_count": 761,
"metadata": {},
"outputs": [],
"source": [
@@ -213,7 +213,7 @@
},
{
"cell_type": "code",
- "execution_count": 90,
+ "execution_count": 762,
"metadata": {},
"outputs": [],
"source": [
@@ -235,7 +235,7 @@
},
{
"cell_type": "code",
- "execution_count": 91,
+ "execution_count": 763,
"metadata": {},
"outputs": [],
"source": [
@@ -275,7 +275,7 @@
},
{
"cell_type": "code",
- "execution_count": 92,
+ "execution_count": 764,
"metadata": {},
"outputs": [],
"source": [
@@ -312,7 +312,7 @@
},
{
"cell_type": "code",
- "execution_count": 93,
+ "execution_count": 765,
"metadata": {},
"outputs": [],
"source": [
@@ -354,7 +354,7 @@
},
{
"cell_type": "code",
- "execution_count": 94,
+ "execution_count": 766,
"metadata": {},
"outputs": [],
"source": [
@@ -375,11 +375,11 @@
},
{
"cell_type": "code",
- "execution_count": 95,
+ "execution_count": 767,
"metadata": {},
"outputs": [],
"source": [
- "SNR = 30 # Desired SNR (dB) \n",
+ "SNR = 25 # Desired SNR (dB) \n",
"rxSig = awgn(txSig_filt,SNR)"
]
},
@@ -414,7 +414,7 @@
},
{
"cell_type": "code",
- "execution_count": 96,
+ "execution_count": 768,
"metadata": {},
"outputs": [],
"source": [
@@ -432,7 +432,7 @@
},
{
"cell_type": "code",
- "execution_count": 97,
+ "execution_count": 769,
"metadata": {},
"outputs": [],
"source": [
@@ -444,12 +444,12 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Ok, we'll leave these for now and return to them when we do channel estimation. Now let's extract the data payload OFDM symbols and perform FFTs to recover the underlying data symbols. The CP is removed because it does not contain any information."
+ "Ok, we'll leave these here for now and return to them when we do channel estimation. Now let's extract the data payload OFDM symbols and perform FFTs to recover the underlying data symbols. The CP is removed because it does not contain any information."
]
},
{
"cell_type": "code",
- "execution_count": 98,
+ "execution_count": 770,
"metadata": {},
"outputs": [],
"source": [
@@ -506,7 +506,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "where $Y[k]$ is the $k^{th}$ received data symbol, $X[k]$ is the $k^{th}$ transmitted data symbol, $H[k]$ is the frequency response at sub-carrier $k$ and $W[k]$ is the noise at sub-carrier $k$. "
+ "where $X[k]$ is the $k^{th}$ transmitted data symbol, $H[k]$ is the frequency response at sub-carrier $k$ and $W[k]$ is the noise at sub-carrier $k$. "
]
},
{
@@ -532,7 +532,7 @@
},
{
"cell_type": "code",
- "execution_count": 99,
+ "execution_count": 771,
"metadata": {},
"outputs": [],
"source": [
@@ -543,7 +543,7 @@
},
{
"cell_type": "code",
- "execution_count": 100,
+ "execution_count": 772,
"metadata": {},
"outputs": [],
"source": [
@@ -561,7 +561,7 @@
},
{
"cell_type": "code",
- "execution_count": 101,
+ "execution_count": 773,
"metadata": {},
"outputs": [],
"source": [
@@ -580,22 +580,22 @@
},
{
"cell_type": "code",
- "execution_count": 102,
+ "execution_count": 774,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 102,
+ "execution_count": 774,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
+ "image/png": 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\n",
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